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n!n!n! or nnn-factorial is the product of all integers from 111 up to nnn (n!=1×2×3×...×n)(n! = 1 \times 2 \times 3 \times ... \times n)(n!=1×2×3×...×n). Find the maximum integral value of kkk such that 2014k2014^k2014k divides 2014!2014!2014!
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This problem is part of the set "Symphony"
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